C'mon, this could be cloned in a weekend ;)
Publish neuroscience findings in a public access journal by all means. Even including pseudocode of the sequence generation algorithm.
But I am all for distributing their particular implementation via private sector partnerships. That could yield further funding and experimentation. And possibly alleviate taxpayer research dependency for their lab in future.
The work itself taps into some novel neuroscience. Do we we possess a Bayesian brain that estimates probabilities in real time? Altering a belief net based on new evidence. Or are patterns hard wired and must be learned. I think this sort of training game based on integer series could work just as well with text, images, music, video, animation, etc.